Authors: Astola, Jaakko
Egiazarian, Karen
Stanković, Milena
Stanković, Radomir 
Title: Fibonacci arithmetic expressions
Journal: Automation and Remote Control
Volume: 65
Issue: 6
First page: 842
Last page: 856
Issue Date: 1-Jan-2004
Rank: M23
ISSN: 0005-1179
DOI: 10.1023/B:AURC.0000030899.21673.8e
Abstract: 
In this paper, we extend the arithmetic (AR) expressions for functions on finite dyadic groups to functions used in Fibonacci interconnection topologies. We have introduced the Fibonacci-Arithmetic (FibAR) expressions for representation of these functions. We discussed the optimization of FibARs with respect to the number of non-zero coefficients through the Fixed-Polarity FibARs defined by using different polarities for the Fibonacci variables. In this way, we provide a base to extend the application of ARs and related powerful CAD design tools for switching functions to functions in Fibonacci interconnection topologies.
Publisher: Springer Link
Project: Academy of Finland, Project no. 44876
EXSITE, Project no. 51520

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